What is the Greatest Common Factor of 81768 and 81777?

Greatest common factor (GCF) of 81768 and 81777 is 3.

GCF(81768,81777) = 3

We will now calculate the prime factors of 81768 and 81777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81768 and 81777.

How to find the GCF of 81768 and 81777?

We will first find the prime factorization of 81768 and 81777. After we will calculate the factors of 81768 and 81777 and find the biggest common factor number .

Step-1: Prime Factorization of 81768

Prime factors of 81768 are 2, 3, 3407. Prime factorization of 81768 in exponential form is:

81768 = 2³ × 3¹ × 3407¹

Step-2: Prime Factorization of 81777

Prime factors of 81777 are 3, 27259. Prime factorization of 81777 in exponential form is:

81777 = 3¹ × 27259¹

Step-3: Factors of 81768

List of positive integer factors of 81768 that divides 81768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3407, 6814, 10221, 13628, 20442, 27256, 40884

Step-4: Factors of 81777

List of positive integer factors of 81777 that divides 81768 without a remainder.

1, 3, 27259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81768 and 81777. The biggest common factor number is the GCF number.
So the greatest common factor 81768 and 81777 is 3.

Also check out the Least Common Multiple of 81768 and 81777